diff options
Diffstat (limited to 'ELECTRIC_MACHINERY/chapter3.ipynb')
-rwxr-xr-x | ELECTRIC_MACHINERY/chapter3.ipynb | 56 |
1 files changed, 13 insertions, 43 deletions
diff --git a/ELECTRIC_MACHINERY/chapter3.ipynb b/ELECTRIC_MACHINERY/chapter3.ipynb index 22fca9a1..411be995 100755 --- a/ELECTRIC_MACHINERY/chapter3.ipynb +++ b/ELECTRIC_MACHINERY/chapter3.ipynb @@ -1,6 +1,7 @@ { "metadata": { - "name": "" + "name": "", + "signature": "sha256:3da4e1bbe19be5f3a05399c95840acc2f1758f76d57c3a0e757cbfa9a562b633" }, "nbformat": 3, "nbformat_minor": 0, @@ -122,6 +123,7 @@ "from __future__ import division\n", "%matplotlib inline\n", "import numpy as np\n", + "from pylab import *\n", "\n", "#Variable declaration:\n", "xdata=[0.0, 0.2, 0.4, 0.6, 0.8, 1.0, 1.2, 1.4, 1.6, 1.8, 2.0] #(cm)\n", @@ -174,43 +176,27 @@ "output_type": "stream", "stream": "stdout", "text": [ - "Populating the interactive namespace from numpy and matplotlib\n", - "The required plots are shown below:" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" - ] - }, - { - "output_type": "stream", - "stream": "stderr", - "text": [ - "WARNING: pylab import has clobbered these variables: ['Polygon', 'poly', 'sign', 'flatten', 'conjugate', 'diff', 'tan', 'Circle', 'roots', 'plot', 'eye', 'trace', 'floor', 'diag', 'invert', 'nan', 'sqrt', 'source', 'add', 'zeros', 'take', 'var', 'pi', 'plotting', 'product', 'seterr', 'power', 'multinomial', 'transpose', 'test', 'beta', 'ones', 'sinh', 'vectorize', 'cosh', 'trunc', 'cos', 'prod', 'tanh', 'mod', 'det', 'sin', 'binomial', 'solve', 'log', 'exp', 'reshape', 'gamma', 'interactive']\n", - "`%pylab --no-import-all` prevents importing * from pylab and numpy\n" + "The required plots are shown below:\n" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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PPkBoaCjCwsIAAK+//joqKysBABkZGdizZw+ystqbw3K5HDk5OUZJQYScxBzehZWIyER2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\nYII=\n", 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dqL29Z9qL01xEQ4fL353CCTExMXbbYmNjnXmqQ+fOnRP33nuviI2NFSkpKeL8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\nbzqnv1hyvxyY+vp63HPPPYi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"text": [ - "<matplotlib.figure.Figure at 0x48a36d0>" + "<matplotlib.figure.Figure at 0x3d76250>" ] } ], - "prompt_number": 4 + "prompt_number": 3 }, { "cell_type": "heading", @@ -368,35 +354,19 @@ "output_type": "stream", "stream": "stdout", "text": [ - "Populating the interactive namespace from numpy and matplotlib\n", - "Tfld = -1.64*10**-3*sin(2*x)- 2.4*10**-3*sin(x)" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" - ] - }, - { - "output_type": "stream", - "stream": "stderr", - "text": [ - "WARNING: pylab import has clobbered these variables: ['vectorize', 'prod', 'plotting', 'Circle', 'diag', 'sinh', 'trunc', 'plot', 'eye', 'det', 'tan', 'product', 'gamma', 'roots', 'sin', 'zeros', 'cosh', 'interactive', 'conjugate', 'take', 'trace', 'beta', 'exp', 'ones', 'multinomial', 'cos', 'transpose', 'solve', 'diff', 'invert', 'pi', 'tanh', 'Polygon', 'reshape', 'sqrt', 'floor', 'source', 'add', 'poly', 'mod', 'sign', 'power', 'binomial', 'log', 'var', 'seterr', 'flatten', 'nan', 'test']\n", - "`%pylab --no-import-all` prevents importing * from pylab and numpy\n" + "Tfld = -1.64*10**-3*sin(2*x)- 2.4*10**-3*sin(x)\n" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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0ZnpWOnrt7QWbujZY03ONMnaoQsGmm969A/z8NAhTtWgRi3W1bp3OZRbRH/fv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\ngQFWOK/Ic16Ivyl1FOgHGBYWhrCwMOV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Z/fnnn0REtHnzZhozZgwREbm7u9MPP/yQp/7T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\nEOD334EOHRqnTsaAjz8GTp8GEhK41WoIr4R23aQGkBCimdmzgdxc4Mc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wdAQOHGDxg3fvciNDRUVIhaYiEtMT0W1vN8ztMhfTOk5T6dxFMmECe7RRYwN4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\nXLsm964VqlN+PmP8QkOb3fjRz1/rhxpACoUCqKsDq1YBn34KVHIGb/E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